Nonrelativistic string theory and T-duality

A bstract Nonrelativistic string theory in flat spacetime is described by a two-dimensional quantum field theory with a nonrelativistic global symmetry acting on the worldsheet fields. Nonrelativistic string theory is unitary, ultraviolet complete and has a string spectrum and spacetime S-matrix enj...

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Veröffentlicht in:The journal of high energy physics Jg. 2018; H. 11; S. 1 - 23
Hauptverfasser: Bergshoeff, Eric, Gomis, Jaume, Yan, Ziqi
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2018
Springer Nature B.V
SpringerOpen
Schlagworte:
Big Bang theory
Bosonic Strings
Classical and Quantum Gravitation
Classical Theories of Gravity
Dilatons
Elementary Particles
Field theory
First principles
Geometry
High energy physics
M theory
Mathematical analysis
Matrix methods
Matrix theory
Measurement
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quantum theory
Regular Article - Theoretical Physics
Relativistic theory
Relativity
Relativity Theory
Sigma Models
Spacetime
String Duality
String Theory
Symmetry
Classical Theories of Gravity
Sigma Models
String Duality
Bosonic Strings
ISSN:1029-8479, 1029-8479
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Zusammenfassung:A bstract Nonrelativistic string theory in flat spacetime is described by a two-dimensional quantum field theory with a nonrelativistic global symmetry acting on the worldsheet fields. Nonrelativistic string theory is unitary, ultraviolet complete and has a string spectrum and spacetime S-matrix enjoying nonrelativistic symmetry. The worldsheet theory of nonrelativistic string theory is coupled to a curved spacetime background and to a Kalb-Ramond two-form and dilaton field. The appropriate spacetime geometry for nonrelativistic string theory is dubbed string Newton-Cartan geometry, which is distinct from Riemannian geometry. This defines the sigma model of nonrelativistic string theory describing strings propagating and interacting in curved background fields. We also implement T-duality transformations in the path integral of this sigma model and uncover the spacetime interpretation of T-duality. We show that T-duality along the longitudinal direction of the string Newton-Cartan geometry describes relativistic string theory on a Lorentzian geometry with a compact lightlike isometry, which is otherwise only defined by a subtle infinite boost limit. This relation provides a first principles definition of string theory in the discrete light cone quantization (DLCQ) in an arbitrary background, a quantization that appears in nonperturbative approaches to quantum field theory and string/M-theory, such as in Matrix theory. T-duality along a transverse direction of the string Newton-Cartan geometry equates nonrelativistic string theory in two distinct, T-dual backgrounds.
Bibliographie:ObjectType-Article-1
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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP11(2018)133